Answer:
29. 9p(2p+1)(2p-1)
31. 4k(2k+5)(2k-5)
Step-by-step explanation:
29. 9p(36p^3/9p-9p/9p)
9p(4p^2-1)
9p((2p)^2-1^2)
9p(2p+1)(2p-1)
31. 4k(16k^3/4k+-100k/4k)
4k(4k^2-25)
4k((2k)^2-5^2)
4k(2k+5)(2k-5)
Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, find the slope of the line between the two points by using the slope formula,
. Substitute the x and y values of the given points into the formula and solve:
Thus, the slope of the line is
.
2) Next, use the point-slope formula
to write the equation of the line in point-slope form. Substitute values for
,
, and
in the formula.
Since
represents the slope, substitute
in its place. Since
and
represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

Answer:
Given expression: 3x+9
Take 3 outside from the expression, we get,
= 3(x+3), which is called the equivalent expression
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Answer:
Acute
Step-by-step explanation:
two of the angles are acute and the other is right.
h=20w
in one week hector works 20 hours
in two hector works 40 etc
h = hours and w = weeks. the money is just extra information.
h=20w works because if it has been two weeks we substitute the w with the number 2 and can solve
h=20(2)
h=20x2
h=40
This proves that the equation is true